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Klein, R.B. (author), Sanderse, B. (author)A novel hyper-reduction method is proposed that conserves kinetic energy and momentum for reduced order models of the incompressible Navier-Stokes equations. The main advantage of conservation of kinetic energy is that it endows the hyper-reduced order model (hROM) with a nonlinear stability property. The new method poses the discrete...journal article 2024
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- Danczul, Tobias (author), Hetebrij, Wouter (author), Khalighi, Faeze (author), Kogler, Lukas (author), Lahaye, D.J.P. (author), Luckins, Ellen (author), Munters, Wim (author), Neunteufel, Michael (author), Vuik, Cornelis (author) conference paper 2022
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Zhang, Y. (author), Palha, A. (author), Gerritsma, M.I. (author), Rebholz, Leo G. (author)We introduce a mimetic dual-field discretization which conserves mass, kinetic energy and helicity for three-dimensional incompressible Navier-Stokes equations. The discretization makes use of a conservative dual-field mixed weak formulation where two evolution equations of velocity are employed and dual representations of the solution are...journal article 2022
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Wei, D. (author), Ghoddoosi Dehnavi, P. (author), Aubin-Tam, M.E. (author), Tam, D.S.W. (author)The swift deformations of flagella and cilia are crucial for locomotion and fluid transport on the micron scale. Most hydrodynamic models of flagellar and ciliary flows assume the zero Reynolds number limit and model the flow using Stokes equations. Recent work has demonstrated that this quasi-steady approximation breaks down at increasing...journal article 2021
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He, Xin (author), Vuik, Cornelis (author)This paper introduces three new Schur complement approximations for the augmented Lagrangian preconditioner. The incompressible Navier-Stokes equations discretized by a stabilized finite element method are utilized to evaluate these new approximations of the Schur complement. A wide range of numerical experiments in the laminar context...journal article 2020
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Goyens, J. (author), Pourquie, M.J.B.M. (author), Poelma, C. (author), Westerweel, J. (author)The vestibular system in the inner ear senses angular head manoeuvres by endolymph fluid which deforms a gelatinous sensory structure (the cupula). We constructed computer models that include both the endolymph flow (using CFD modelling), the cupula deformation (using FEM modelling), and the interaction between both (using fluid–structure...journal article 2019
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Maljaars, J.M. (author), Labeur, R.J. (author), Möller, M. (author)A generic particle–mesh method using a hybridized discontinuous Galerkin (HDG) framework is presented and validated for the solution of the incompressible Navier–Stokes equations. Building upon particle-in-cell concepts, the method is formulated in terms of an operator splitting technique in which Lagrangian particles are used to discretize...journal article 2018
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He, X. (author), Vuik, Cornelis (author), Klaij, Christiaan M. (author)The augmented Lagrangian (AL) preconditioner and its variant have been successfully applied to solve saddle point systems arising from the incompressible Navier-Stokes equations discretized by the finite element method. Attractive features are the purely algebraic construction and robustness with respect to the Reynolds number and mesh renement....journal article 2018
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Blom, D.S. (author), Birken, Philipp (author), Bijl, H. (author), Kessels, F.J.M. (author), Meister, Andreas (author), van Zuijlen, A.H. (author)In this article, we endeavour to find a fast solver for finite volume discretizations for compressible unsteady viscous flows. Thereby, we concentrate on comparing the efficiency of important classes of time integration schemes, namely time adaptive Rosenbrock, singly diagonally implicit (SDIRK) and explicit first stage singly diagonally...journal article 2016
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He, X. (author), Vuik, C. (author)In this report we explore the performance of the SIMPLER , augmented Lagrangian, ’grad-div’ preconditioners and their variants for the two-by-two block systems arising in the incompressible Navier-Stokes equations. The lid-driven cavity and flow over a finite flat plate are chosen as the benchmark problems. For each problem Reynolds number...report 2013
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Bulelzai, M.A.K. (author)Atherosclerosis is a disease in which low density lipoproteins (LDL) accumulate in the arterial wall due to an inflammatory response, which is triggered by the oxidation of LDL molecules that are already present in the arterial wall. Progression of atherosclerotic plaques involves many components which includes, macrophages, monocytes, LDL,...doctoral thesis 2013
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Brändle de Motta, J.C. (author), Breugem, W.P. (author), Gazanion, B. (author), Estivalezes, J.L. (author), Vincent, S. (author), Climent, E. (author)A general model is presented for short-range hydrodynamic interactions and head-on particle-particle/wall collisions. The model has been embedded in two distinct numerical methods for fully resolved simulation of finite-size particles in a viscous fluid. It accounts for the material properties of the particles and lubrication effects prior to...journal article 2013
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He, X. (author), Neytcheva, M. (author), Vuik, C. (author)This paper deals with fast and reliable numerical solution methods for the incompressible non-Newtonian Navier-Stokes equations. To handle the nonlinearity of the governing equations, the Picard and Newton methods are used to linearize these coupled partial differential equations. For space discretization we use the finite element method and...report 2013
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- Van Neerven, J.M.A.M. (author), Veraar, M.C. (author), Weis, L. (author) journal article 2012
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Labeur, R.J. (author), Wells, G.N. (author)A hybrid method for the incompressible Navier–Stokes equations is presented. The ethod inherits the attractive stabilizing mechanism of upwinded discontinuous Galerkin methods hen momentum advection becomes significant, equal-order interpolations can be used for the velocity nd pressure fields, and mass can be conserved locally. Using continuous...journal article 2012
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Akkerman, I. (author), Bazilevs, Y. (author), Calo, V.M. (author), Hughes, T.J.R. (author), Hulshoff, S. (author)This paper examines the role of continuity of the basis in the computation of turbulent flows. We compare standard finite elements and non-uniform rational B-splines (NURBS) discretizations that are employed in Isogeometric Analysis (Hughes et al. in Comput Methods Appl Mech Eng, 194:4135–4195, 2005). We make use of quadratic discretizations...journal article 2007
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Gillissen, J.J.J. (author), Boersma, B.J. (author), Mortensen, P.H. (author), Andersson, H.I. (author)Fiber-induced drag reduction can be studied in great detail by means of direct numerical simulation [ J. S. Paschkewitz et al., J. Fluid Mech. 518, 281 (2004) ]. To account for the effect of the fibers, the Navier-Stokes equations are supplemented by the fiber stress tensor, which depends on the distribution function of fiber orientation angles....journal article 2007
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Kenjere, S. (author), Hanjali?, K. (author), Renaudier, S. (author), Stefani, F. (author), Gerbeth, G. (author), Gailitis, A. (author)Magnetic fields of planets, stars, and galaxies result from self-excitation in moving electroconducting fluids, also known as the dynamo effect. This phenomenon was recently experimentally confirmed in the Riga dynamo experiment [ A. Gailitis et al., Phys. Rev. Lett. 84, 4365 (2000) ; A. Gailitis et al., Physics of Plasmas 11, 2838 (2004) ],...journal article 2006
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Manservisi, S. (author)Optimal boundary control problems associated with the Navier-Stokes equations coupled with the energy equation have a wide and important range of applications. Velocity, pressure and temperature describe most systems and the control through their boundary conditions is the most common in their optimal design. Despite the fact that this field has...conference paper 2006
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Bassi, F. (author), Crivellini, A. (author)Discontinuous Galerkin (DG) methods have proved to be very well suited for the construction of robust high-order numerical schemes on unstructured and possibly non conforming grids for a wide variety of problems. In this paper we consider natural convection flow problems and present a high-order DG method for their numerical solution. The...conference paper 2006